Solve -6*[43-(18divC13)]-5

$$- 6 \times [ 43 - ( 18 \div C 13 ) ] - 5$$

Evaluate

$$-263+\frac{108}{C_{13}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 43 times \frac{C_{13}}{C_{13}}.

$$-6\left(\frac{43C_{13}}{C_{13}}-\frac{18}{C_{13}}\right)-5$$

Since \frac{43C_{13}}{C_{13}} and \frac{18}{C_{13}} have the same denominator, subtract them by subtracting their numerators.

$$-6\times \frac{43C_{13}-18}{C_{13}}-5$$

Express -6\times \frac{43C_{13}-18}{C_{13}} as a single fraction.

$$\frac{-6\left(43C_{13}-18\right)}{C_{13}}-5$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{C_{13}}{C_{13}}.

$$\frac{-6\left(43C_{13}-18\right)}{C_{13}}-\frac{5C_{13}}{C_{13}}$$

Since \frac{-6\left(43C_{13}-18\right)}{C_{13}} and \frac{5C_{13}}{C_{13}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6\left(43C_{13}-18\right)-5C_{13}}{C_{13}}$$

Do the multiplications in -6\left(43C_{13}-18\right)-5C_{13}.

$$\frac{-258C_{13}+108-5C_{13}}{C_{13}}$$

Combine like terms in -258C_{13}+108-5C_{13}.

$$\frac{-263C_{13}+108}{C_{13}}$$

Expand

$$-263+\frac{108}{C_{13}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 43 times \frac{C_{13}}{C_{13}}.

$$-6\left(\frac{43C_{13}}{C_{13}}-\frac{18}{C_{13}}\right)-5$$

Since \frac{43C_{13}}{C_{13}} and \frac{18}{C_{13}} have the same denominator, subtract them by subtracting their numerators.

$$-6\times \frac{43C_{13}-18}{C_{13}}-5$$

Express -6\times \frac{43C_{13}-18}{C_{13}} as a single fraction.

$$\frac{-6\left(43C_{13}-18\right)}{C_{13}}-5$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{C_{13}}{C_{13}}.

$$\frac{-6\left(43C_{13}-18\right)}{C_{13}}-\frac{5C_{13}}{C_{13}}$$

Since \frac{-6\left(43C_{13}-18\right)}{C_{13}} and \frac{5C_{13}}{C_{13}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6\left(43C_{13}-18\right)-5C_{13}}{C_{13}}$$

Do the multiplications in -6\left(43C_{13}-18\right)-5C_{13}.

$$\frac{-258C_{13}+108-5C_{13}}{C_{13}}$$

Combine like terms in -258C_{13}+108-5C_{13}.

$$\frac{-263C_{13}+108}{C_{13}}$$